Finding the Third Proportional to 1,106.16 and 1,607.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.16 : 1,607.34 = 1,607.34 : x
2. Step 2: Convert to fraction form
   1,106.16/1,607.34 = 1,607.34/x
3. Step 3: Cross multiply
   1,106.16x = 1,607.34 × 1,607.34
4. Step 4: Simplify right side
   1,106.16x = 2,583,553.93
5. Step 5: Solve for x
   x = 2,583,553.93/1,106.16
6. Step 6: Final answer
   x = 2,335.61